Evaluate lim f(x+h)-f(x) h-0 where f(x) = 2 – 3x². h None of these -X 6x O -6x O 3x

Q: . a. Approximate y = e# using the Taylor polynomial P3 (æ) of y = e at 0. а.

A: taylor polynimial formula and steps I given below.

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A: Topic:- calculus

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A: We will solve this question using integration by parts.

Q: Using an appropriate lineař appratimation, Feel free to leave fractions in answer.

A: The given approximation 35

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Q: 3X-1 xp +4

A: Follow the procedure given below.

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A: We have to check the following

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Q: 2. A= B = 23 DA+B @ Ao+B

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A: Find value at critical point and end points.

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Q: æ = 4;y = t-1»Y t² – 1|

A: Use the following derivative formulas:ddxxn=nxn-1ddxfxgx=ddxfxgx-ddxgxfxgx2ddx ( f(g(x) ) = f'…

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A: Topic:-  vector algebra

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A: Find your answer below

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Q: Consider the following curve. r2 cos(2?) = 9 A) Write an equation for the curve in terms of sin(?)…

A: The given curve is r2cos(2θ)=9

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A: Let's find.

Q: Derive the derivative function for secx and express your answer in product form.

A: ddx(secx)=ddx(1cosx)ddx(secx)=cos(x)ddx(1)-1ddx(cos(x))cos(x)2ddx(secx)=cos(x)0-1-sinxcos(x)2ddx(sec…

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A: 4. Given, v=(5,9) u=(-5,-9) According to given, Resultant(R)=((5-5)²+(9-9)²)1/2 R=0 Angle is given…

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Q: Answer the following about the function f (x) = (1/3)x^3 − (1/2)x^2 −2x + 1 a. Find all critical…

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Q: Exercise 1. Solve and Describe The scores of individual students on a national achievement test have…

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A: Given

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Q: 3) f (x) = 2 x2 + 4000/x +10 a)Find the derivative . b)Find the critical number(s), if any.

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